Next Number

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?




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Rearrange the letters in "new door" to make one word.

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While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me:

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Challenging

There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.